Analytical modeling demonstrates accurate calculation of buffer overflow probabilities during Markov-interrupted service, highlighting practical sizing methods for fading radio channels.
Interrupted service, which may occur in fading radio channels, in low-priority channels which can be preempted or in systems with failures may make severe demands on buffer size if overflow is to be avoided. This paper analyzes a buffer with a Markov-interrupted timeslotted server, generalizing earlier work on independent random interruptions. An equivalent service distribution is defined for use in an approximateM/G/1model, which in turn gives buffer probabilities and overflow probabilities. For very small overflow probabilities, the necessary buffer size is found from a further analytic approximation to the tail of the buffer size distribution. The accuracy of the two approximations together is good, shown by an example of a fading radio channel.
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Woodside et al. (1987) studied this question.
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